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Finding the Fourth Proportional to 379.79, 524.46 and 359.33

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Solution

The fourth proportional to 379.79, 524.46 and 359.33 is: 496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.79 : 524.46 = 359.33 : x
  2. Step 2: Convert to fraction form
    379.79/524.46 = 359.33/x
  3. Step 3: Cross multiply
    379.79x = 524.46 × 359.33
  4. Step 4: Simplify right side
    379.79x = 188,454.21
  5. Step 5: Solve for x
    x = 188,454.21/379.79
  6. Step 6: Final answer
    x = 496.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.